def test_naturals(self):
nats = hacklib.Naturals()
takefive = hacklib.take(nats, 5)
assert takefive == [1, 2, 3, 4, 5]
assert 12 in nats
assert -5 not in nats
assert 12.3 not in nats
def test_convergents(self):
euler = hacklib.Convergents.of_e()
test = hacklib.take(euler, 4)
assert test[0] == fractions.Fraction(2, 1)
assert test[1] == fractions.Fraction(3, 1)
assert test[2] == fractions.Fraction(8, 3)
assert test[3] == fractions.Fraction(11, 4)
def test_abundants(self):
abund = hacklib.Abundants()
test = hacklib.take(abund, 5)
assert test == [12, 18, 20, 24, 30]
assert 20 in abund
assert 102 in abund
assert 118 not in abund
def test_squares(self):
squares = hacklib.Squares()
takefive = hacklib.take(squares, 5)
for num in takefive:
assert num in squares
assert takefive == [1, 4, 9, 16, 25]
assert 17 not in takefive
assert -1 not in takefive
def test_triangulars(self):
tries = hacklib.Triangulars()
taketen = hacklib.take(tries, 10)
correct = [0, 1, 3, 6, 10, 15, 21, 28, 36, 45]
assert taketen == correct
assert 28 in tries
assert 29 not in tries
assert 27 not in tries
assert -6 not in tries
def test_pentagonals(self):
pents = hacklib.Pentagonals()
correct = [1, 5, 12, 22, 35, 51, 70, 92, 117, 145]
for num in correct:
assert num in pents
taketen = hacklib.take(pents, 10)
assert taketen == correct
assert 442 not in pents
assert 6 not in pents
def test_fibonacci(self):
fibs = [0, 1, 1, 2, 3, 5, 8, 13, 21]
fibseq = hacklib.ArithSequence(0, 1)
taketen = hacklib.take(fibseq, len(fibs))
for x in range(len(fibs)):
assert taketen[x] == fibs[x]
assert 5 in fibseq
assert 7 not in fibseq
assert 8 in fibseq
assert 144 in fibseq